Question

I need help on limits and continuity

Answer 1

1st problem:

Approximate the \[\lim_{x \rightarrow -6^{^{-}}} \frac{ x }{ x+6 }\] by evaluating \[f(x)= \frac{ x }{ x+6 } \] at appropriate values of x.

Answer 2

You're trying to approximate the limit as x approaches -6 from the left. So use x=-6.0001 or something like that.

Answer 3

that makes sense

Answer 4

If you have a high precision calculator, you can even use something closer, like x=-6.000000001